Question

Which property justifies the equation 0.5⋅(8.4−1.6)=0.5⋅8.4−0.5⋅1.60.5⋅(8.4−1.6)=0.5⋅8.4−0.5⋅1.6?

A. Commutative Property.
B. Associative Property.
C. Identity Property.
D. Distributive Property.

Answer 1

The equation 0.5⋅(8.4−1.6) = 0.5⋅8.4 - 0.5⋅1.6 is justified by the Distributive Property, which allows for multiplying a single term by each term within parentheses.

Step-by-step explanation:

Correct Option is D.

The property that justifies the equation 0.5⋅(8.4−1.6) = 0.5⋅8.4 - 0.5⋅1.6 is the Distributive Property. This property allows us to multiply a single term, in this case 0.5, by each of the terms inside the parentheses individually (8.4 and -1.6), and then adding the results. So effectively, you are distributing the factor of 0.5 across the addition inside the parentheses.